Question

If car's mass is 1500 kg with 10000 m\s and train's mass is 5000 kg with 100 m\s which one have the more momentum and which we have to apply more force to stop it and why ?

Answer 1

Solution :

Given data of the car :

• Mass = 1500 kg

• Velocity = 10000 m/s

We've to find the momentum, we know that

★ Momentum = Mass × Velocity

→ Momentum = 1500 × 10,000

→ Momentum = 15,000,000 kg m/s

Given data of the train :

• Mass = 5000 kg

• Velocity = 100 m/s

We've to find the momentum, we know that

★ Momentum = Mass × Velocity

→ Momentum = 5000 × 100

→ Momentum = 500,000 kg m/s

Here, Momentum of car is greater than momentum of train.

And we know that The rate of change of momentum of an object is directly proportional to the resultant force applied and is in the direction of the resultant force. The resultant force is equal to the rate of change of momentum.

$\therefore$ We will have to apply more force on train than that of the car to stop it.

Answer 2

m1 = 1500 kg

m2 = 5000 kg

v1= 10000 m/s

v2 = 100 m/s

p1 = 1500 x 10000 = 15000000 kg m/s

p2 = 5000 x 100 = 500000 kg m/s

p1 has the more momentum

we have to apply more force on train because it's mass is more..

hope this helps you.

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